Note About Weyl Invariant Horava-Lifshitz Gravity

TL;DR

This paper develops a class of Horava-Lifshitz gravity theories that maintain invariance under anisotropic Weyl scaling, extending existing symmetry groups and analyzing their Hamiltonian and constraint structures.

Contribution

It introduces Weyl-invariant Horava-Lifshitz gravity models by extending symmetry groups and provides their Hamiltonian formulation and constraint analysis.

Findings

Weyl-invariant Horava-Lifshitz gravity models constructed.

Hamiltonian formulation derived for these models.

Constraint structure analyzed and characterized.

Abstract

We construct Horava-Lifshitz gravities that are invariant under anisotropic Weyl scaling. This construction is based on an extension of the group of symmetries of healthy extended Horava-Lifshitz gravity and RFDiff invariant Horava-Lifshitz gravity. We find their Hamiltonian formulation and determine their constraint structure.